GCD of 548, 409, 214, 360 Calculator

Given Input numbers are 548, 409, 214, 360

In the factoring method, we have to find the divisors of all numbers

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (548, 409, 214, 360) = 1.

Given numbers are 548, 409, 214, 360

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 409 are 409

Prime factors of 214 are 2 x 107

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 548, 409, 214, 360

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(548, 409) = 224132

GCD(548, 409) = ( 548 x 409 ) / 224132

= 548 / 409

= 548

Step2:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 548, 409, 214, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 775, 295, 973
• GCD of 341, 856, 147, 884
• GCD of 704, 404, 842, 271
• GCD of 801, 730, 629, 128
• GCD of 482, 298, 379, 979

Given numbers are 548, 409, 214, 360
The greatest common divisor of numbers 548, 409, 214, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 409, 214, 360 is 1.

1. What is the GCD of 548, 409, 214, 360?

GCD of given numbers 548, 409, 214, 360 is 1

2. How to calculate the greatest common divisor of 548, 409, 214, 360?

We can find the highest common divisor of 548, 409, 214, 360 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 548, 409, 214, 360 i.e 1.

3. How can I use the GCD of 548, 409, 214, 360Calculator?

Out the numbers 548, 409, 214, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.